The roll of paper of mass M has radius of gyration k_A about an axis passing through point A. It is pin-supported at both ends by two brackets AB. If the roll rests against a wall for which the coefficient of kinetic friction is μ_k and a vertical force F is applied to the end of the paper, determine the angular acceleration of the roll as the paper unrolls.

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Given: M = 20 kg ΚΑ = 90 mm Mk = 0.2 F = 30 N a = 300 mm b = 125 mm 8 = 9.81 m 2 S